solve the questions with neat handwriting.....

a) Let 2 = f (x. y) and 3/"): + yz+ z3 = 6x. Use the Implicit Function Theorem to evaluate a_z ax at (1.10). (5 marks) b) Find the critical points for the function f(x,y)= x4 2xy-'- + y2 and identify the nature of each critical points. (11 marks)